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2012240232 = 23351496947
BaseRepresentation
bin111011111110000…
…0101100101101000
312012020101101200000
41313330011211220
513110113141412
6531401143000
7100602521412
oct16774054550
95166341600
102012240232
11942947962
12481a8aa60
13260b717c2
141513639b2
15bb9ce4dc
hex77f05968

2012240232 has 96 divisors (see below), whose sum is σ = 5690412000. Its totient is φ = 666149184.

The previous prime is 2012240231. The next prime is 2012240233. The reversal of 2012240232 is 2320422102.

It is an interprime number because it is at equal distance from previous prime (2012240231) and next prime (2012240233).

It is a super-2 number, since 2×20122402322 = 8098221502558827648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2012240231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286183 + ... + 293129.

It is an arithmetic number, because the mean of its divisors is an integer number (59275125).

Almost surely, 22012240232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012240232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845206000).

2012240232 is an abundant number, since it is smaller than the sum of its proper divisors (3678171768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2012240232 is a wasteful number, since it uses less digits than its factorization.

2012240232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7117 (or 7101 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2012240232 is about 44858.0007579473. Note that the first 3 decimals coincide. The cubic root of 2012240232 is about 1262.4861118232.

Adding to 2012240232 its reverse (2320422102), we get a palindrome (4332662334).

The spelling of 2012240232 in words is "two billion, twelve million, two hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 149 162 216 243 298 324 447 486 596 648 894 972 1192 1341 1788 1944 2682 3576 4023 5364 6947 8046 10728 12069 13894 16092 20841 24138 27788 32184 36207 41682 48276 55576 62523 72414 83364 96552 125046 144828 166728 187569 250092 289656 375138 500184 562707 750276 1035103 1125414 1500552 1688121 2070206 2250828 3105309 3376242 4140412 4501656 6210618 6752484 8280824 9315927 12421236 13504968 18631854 24842472 27947781 37263708 55895562 74527416 83843343 111791124 167686686 223582248 251530029 335373372 503060058 670746744 1006120116 2012240232